11088388512 has 384 divisors, whose sum is σ = 35006791680. Its totient is φ = 3407754240.

The previous prime is 11088388489. The next prime is 11088388513. The reversal of 11088388512 is 21588388011.

It is not an unprimeable number, because it can be changed into a prime (11088388513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66397453 + ... + 66397619.

It is an arithmetic number, because the mean of its divisors is an integer number (91163520).

Almost surely, 2^11088388512 is an apocalyptic number.

11088388512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088388512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503395840).

11088388512 is an abundant number, since it is smaller than the sum of its proper divisors (23918403168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11088388512 is a wasteful number, since it uses less digits than its factorization.

11088388512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

It can be divided in two parts, 11088388 and 512, that added together give a square (11088900 = 3330²).

The spelling of 11088388512 in words is "eleven billion, eighty-eight million, three hundred eighty-eight thousand, five hundred twelve".